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X₃₉₀₈¶

X₁₂₀com[INVERSE(n(5th EULER TRIANGLE))]

X₃₉₀₈ (X₁₂₀com[INVERSE(n(5th EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3908 = X_120com[INVERSE(n(5th EULER TRIANGLE))]."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

        from geometor.etc.ops import (
            central_line,
            construct_baseline_triangle,
            create_model,
            eval_barycentric_point,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03908(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3908 = X_120com[INVERSE(n(5th EULER TRIANGLE))] on reference triangle ABC."""
            X_3908 = eval_barycentric_point(model, A, B, C, '(a*(a - b)*(a - c)*(2*b**(2) + 2*c**(2) - a**(2)))', ID="X_3908", classes=["selected", "target"])
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center", "incident"])
            X_110 = eval_trilinear_point(model, A, B, C, 'csc(B - C)', ID="X_110", classes=["center", "incident"])
            central_line(model, X_100, X_110, 100, 110, incident=True)
            X_513 = eval_trilinear_point(model, A, B, C, 'b - c', ID="X_513", classes=["center", "incident"])
            X_644 = eval_trilinear_point(model, A, B, C, '((b + c - a)/(b - c))', ID="X_644", classes=["center", "incident"])
            central_line(model, X_513, X_644, 513, 644, incident=True)
            X_668 = eval_trilinear_point(model, A, B, C, '1/(a**(2)*(b - c))', ID="X_668", classes=["center", "incident"])
            X_892 = point_from_barycentrics(model, A, B, C, -0.10419811, 0.98771128, 0.11648683, ID="X_892", classes=["center", "incident"])
            central_line(model, X_668, X_892, 668, 892, incident=True)
            return promote_point_to_top(model, X_3908)


        def build_model(
            sides: tuple[float, float, float] = (5.0, 6.0, 7.0),
            show_guides: bool = False,
        ) -> Model:
            """Build a `geometor.model.Model` for X_3908 on the given reference triangle."""
            model = create_model('X_3908 = X_120com[INVERSE(n(5th EULER TRIANGLE))]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03908(model, A, B, C)
            return model


        if __name__ == "__main__":
            here = Path(__file__).resolve().parent
            model_acute = build_model((5.0, 6.0, 7.0))
            model_acute.save(str(here / "x-03908.json"))
            write_center_svg(
                model_acute,
                here / "x-03908.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3908¶

X₃₉₀₈¶